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ira [324]
3 years ago
11

The area of the square, the

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

B.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area  of the square is π/4

  • The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*πr^{2}

  • The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V =  1/3*h*4r^{2}

=> the ratio of volume of the cone to the pyramid is:

= \frac{V1}{V2}

= (1/3*h*πr^{2} ) / ( 1/3*h*4r^{2} )

= π/4

S we can conclude that the volume of the cone equals π/4  the volume of the  pyramid

Hope it will find you well.

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